### Some articles on *turing degrees, turing, degrees*:

Theodore Slaman

... Hugh Woodin formulated the Bi-interpretability Conjecture for the

... Hugh Woodin formulated the Bi-interpretability Conjecture for the

**Turing degrees**, which conjectures that the partial order of the**Turing degrees**is logically equivalent to ... to there being no nontrivial automorphism of the**Turing degrees**... on the possible automorphisms of the**Turing degrees**by showing that any automorphism will be arithmetically definable ...Structure of The

... A great deal of research has been conducted into the structure of the

**Turing Degrees**... A great deal of research has been conducted into the structure of the

**Turing degrees**... One general conclusion that can be drawn from the research is that the structure of the**Turing degrees**is extremely complicated ...Recursion Theory - Areas of Research - Relative Computability and The

... logic has traditionally focused on relative computability, a generalization of

**Turing Degrees**... logic has traditionally focused on relative computability, a generalization of

**Turing**computability defined using oracle**Turing**machines, introduced by**Turing**(1939) ... An oracle**Turing**machine is a hypothetical device which, in addition to performing the actions of a regular**Turing**machine, is able to ask questions of an oracle, which is a particular set of ... Informally, a set of natural numbers A is**Turing**reducible to a set B if there is an oracle machine that correctly tells whether numbers are in A when run ...Recursion Theory - Areas of Research - Automorphism Problems

... automorphisms are also studied for the structure of the

... automorphisms are also studied for the structure of the

**Turing degrees**of all sets as well as for the structure of the**Turing degrees**of r.e ... constructed nontrivial automorphisms which map some**degrees**to other**degrees**this construction has, however, not been verified and some colleagues ...### Famous quotes containing the word degrees:

“No sooner met but they looked; no sooner looked but they loved; no sooner loved but they sighed; no sooner sighed but they asked one another the reason; no sooner knew the reason but they sought the remedy; and in these *degrees* have they made a pair of stairs to marriage, which they will climb incontinent, or else be incontinent before marriage.”

—William Shakespeare (1564–1616)